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Finding the Fourth Proportional to 4,889.57, 6,751.47 and 4,516.40

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Solution

The fourth proportional to 4,889.57, 6,751.47 and 4,516.40 is: 6,236.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,889.57 : 6,751.47 = 4,516.40 : x
  2. Step 2: Convert to fraction form
    4,889.57/6,751.47 = 4,516.40/x
  3. Step 3: Cross multiply
    4,889.57x = 6,751.47 × 4,516.40
  4. Step 4: Simplify right side
    4,889.57x = 30,492,305.35
  5. Step 5: Solve for x
    x = 30,492,305.35/4,889.57
  6. Step 6: Final answer
    x = 6,236.20

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.